The pound declined against its major counterparts in the Asian session on Tuesday, as the U.K. Parliament cleared the Brexit bill to let the U.K. Prime Minister Theresa May to begin formal withdrawal process by the March-end deadline.

The Commons earlier voted overwhelmingly to overturn two previous Lords amendments, permitting the Parliament to grant a "meaningful vote" on terms of final Brexit deal and guaranteeing the rights of EU nationals living in the UK. This follows the House of Lords approval to resist these amendments by a majority vote, mainly because Labor peers decided to abstain.

The bill when signed by the Queen would become law, clearing way for May to launch Article 50 talks on leaving the EU by the end of March.

In economic front, the British Chambers of Commerce upgraded the UK growth outlook for this year citing an upward revision to UK GDP growth data in the final quarter of 2016, and stronger than expected levels of consumer spending.

Gross domestic product was forecast to expand 1.4 percent instead of 1.1 percent this year. Growth of 0.4 percent was expected in the first quarter of 2017.

Meanwhile, Asian stock markets are trading mixed, following the lackluster cues overnight from Wall Street and on caution as the U.S. Federal Reserve kicks off its two-day monetary policy meeting later in the day. Investors are also awaiting industrial output and retail sales data from China today.

The Fed is widely expected to increase interest rates at the culmination for its two-day meeting on Wednesday. Investors will also focus on Fed Chair Janet Yellen's accompanying press conference for clues about whether rates will be hiked again in the coming months.

The pound climbed on Monday after Scotland's First Minister Nicola Sturgeon announced plan for a second independence referendum within two years. It rose 0.4 percent against the greenback, 0.6 percent against the yen, 0.6 percent against the euro and 0.2 percent against the Swiss franc for the day.

The pound dropped to 1.2239 against the Swiss franc, its lowest since January 17. On the downside, 1.18 is possibly seen as the next support level for the pound.

The pound slipped to near a 2-month low of 1.2124 against the dollar, compared to Monday's closing value of 1.2217. If the pound-dollar pair extends decline, it may challenge support around the 1.20 region.

Reversing from an early high of 0.8713 against the euro, the pound weakened to 0.8773. Continuation of the pound's downtrend may see it challenging support around the 0.89 level.

The pound, having advanced to 140.42 against the Japanese yen at 6:30 pm ET, reversed direction and fell to 139.55. The pound is poised to find support around the 138.00 area.

Looking ahead, Eurozone industrial production for January and German ZEW economic sentiment index for March are due to be released in the European session.

In the New York session, U.S. NFIB small business index and U.S. PPI, both for February, are slated for release.

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